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In this paper, we study the problem of exact community recovery in the symmetric stochastic block model, where a graph of $n$ vertices is randomly generated by partitioning the vertices into $K \ge 2$ equal-sized communities and then…

最优化与控制 · 数学 2021-06-11 Peng Wang , Huikang Liu , Zirui Zhou , Anthony Man-Cho So

This article studies the estimation of latent community memberships from pairwise interactions in a network of $N$ nodes, where the observed interactions can be of arbitrary type, including binary, categorical, and vector-valued, and not…

统计理论 · 数学 2022-08-31 Konstantin Avrachenkov , Maximilien Dreveton , Lasse Leskelä

This article explores and analyzes the unsupervised clustering of large partially observed graphs. We propose a scalable and provable randomized framework for clustering graphs generated from the stochastic block model. The clustering is…

社会与信息网络 · 计算机科学 2022-12-06 Mostafa Rahmani , Andre Beckus , Adel Karimian , George Atia

Recognizing number of communities and detecting community structures of complex network are discussed in this paper. As a visual and feasible algorithm, block model has been successfully applied to detect community structures in complex…

物理与社会 · 物理学 2018-03-20 Hongjue Wang , Tao Wang

We study the problem of community detection in hypergraphs under a stochastic block model. Similarly to how the stochastic block model in graphs suggests studying spiked random matrices, our model motivates investigating statistical and…

数据结构与算法 · 计算机科学 2018-07-05 Chiheon Kim , Afonso S. Bandeira , Michel X. Goemans

The stochastic block model (SBM) is widely studied as a benchmark for graph clustering aka community detection. In practice, graph data often come with node attributes that bear additional information about the communities. Previous works…

无序系统与神经网络 · 物理学 2023-09-12 O. Duranthon , L. Zdeborová

The community detection problem involves making inferences about node labels in a graph, based on observing the graph edges. This paper studies the effect of additional, non-graphical side information on the phase transition of exact…

信息论 · 计算机科学 2019-01-30 Hussein Saad , Aria Nosratinia

The problem of community detection receives great attention in recent years. Many methods have been proposed to discover communities in networks. In this paper, we propose a Gaussian stochastic blockmodel that uses Gaussian distributions to…

社会与信息网络 · 计算机科学 2015-03-19 Junhao Zhang , Tongfei Chen , Junfeng Hu

The costly human effort required to prepare the training data of machine learning (ML) models hinders their practical development and usage in software engineering (ML4Code), especially for those with limited budgets. Therefore, efficiently…

软件工程 · 计算机科学 2023-06-05 Qiang Hu , Yuejun Guo , Xiaofei Xie , Maxime Cordy , Lei Ma , Mike Papadakis , Yves Le Traon

The stochastic block model (SBM) is a random graph model in which the edges are generated according to the underlying cluster structure on the vertices. The (ferromagnetic) Ising model, on the other hand, assigns $\pm 1$ labels to vertices…

概率论 · 数学 2020-10-15 Min Ye

Dynamic networks, especially those representing social networks, undergo constant evolution of their community structure over time. Nodes can migrate between different communities, communities can split into multiple new communities,…

社会与信息网络 · 计算机科学 2017-08-29 Timothy La Fond , Geoffrey Sanders , Christine Klymko , Van Emden Henson

Community detection seeks to recover mesoscopic structure from network data that may be binary, count-valued, signed, directed, weighted, or multilayer. The stochastic block model (SBM) explains such structure by positing a latent partition…

统计理论 · 数学 2026-01-07 Marios Papamichalis , Regina Ruane

Data generation and labeling are usually an expensive part of learning for robotics. While active learning methods are commonly used to tackle the former problem, preference-based learning is a concept that attempts to solve the latter by…

机器学习 · 计算机科学 2018-10-11 Erdem Bıyık , Dorsa Sadigh

In community detection, the exact recovery of communities (clusters) has been mainly investigated under the general stochastic block model with edges drawn from Bernoulli distributions. This paper considers the exact recovery of communities…

社会与信息网络 · 计算机科学 2021-02-09 Mohammad Esmaeili , Aria Nosratinia

We propose a novel family of model-free algorithms for node clustering and parameter inference in graphs generated from the Stochastic Block Model (SBM), a fundamental framework in community detection. Drawing inspiration from the Lloyd…

机器学习 · 统计学 2025-09-22 Bertrand Cloez , Adrien Cotil , Jean-Baptiste Menassol , Nicolas Verzelen

Anomaly detection is a relevant problem in the area of data analysis. In networked systems, where individual entities interact in pairs, anomalies are observed when pattern of interactions deviates from patterns considered regular. Properly…

社会与信息网络 · 计算机科学 2023-10-25 Hadiseh Safdari , Caterina De Bacco

Higher-order structures of networks, namely, small subgraphs of networks (also called network motifs), are widely known to be crucial and essential to the organization of networks. There has been a few work studying the community detection…

统计方法学 · 统计学 2023-04-14 Xiao Guo , Hai Zhang , Xiangyu Chang

We propose a new algorithm to detect the community structure in a network that utilizes both the network structure and vertex attribute data. Suppose we have the network structure together with the vertex attribute data, that is, the…

社会与信息网络 · 计算机科学 2016-11-23 Shun Kataoka , Takuto Kobayashi , Muneki Yasuda , Kazuyuki Tanaka

Motivated by social network analysis and network-based recommendation systems, we study a semi-supervised community detection problem in which the objective is to estimate the community label of a new node using the network topology and…

社会与信息网络 · 计算机科学 2023-06-05 Yicong Jiang , Tracy Ke

Network clustering reveals the organization of a network or corresponding complex system with elements represented as vertices and interactions as edges in a (directed, weighted) graph. Although the notion of clustering can be somewhat…

机器学习 · 统计学 2017-11-15 Yongjin Park , Joel S. Bader